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Finding the Fourth Proportional to 10,312.81, 14,243.28 and 6,969.43

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Solution

The fourth proportional to 10,312.81, 14,243.28 and 6,969.43 is: 9,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.81 : 14,243.28 = 6,969.43 : x
  2. Step 2: Convert to fraction form
    10,312.81/14,243.28 = 6,969.43/x
  3. Step 3: Cross multiply
    10,312.81x = 14,243.28 × 6,969.43
  4. Step 4: Simplify right side
    10,312.81x = 99,267,542.93
  5. Step 5: Solve for x
    x = 99,267,542.93/10,312.81
  6. Step 6: Final answer
    x = 9,625.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.